Positive periodic solutions for an iterative differential equation related to a discrete derivatives sequence.

In this paper, we use Krasnoselskii's fixed point theorem to study the existence and uniqueness of periodic solutions of a class of iterative differential equation... where K 2 R \ {0},ai 2 R, fi(t) denotes ith iterate of f (t), i = 1,2, . . ., n. The above equation is closely related to a discrete derivatives sequence F0(m) (see [Y.-F.S. P'etermann, Jean-Luc R'emy, Ilan Vardi, Discrete derivatives of sequences, Adv. in Appl. Math. 27 (2001) 562-584]). [ABSTRACT FROM AUTHOR]